How far will a ball travel when rolled off a ramp?

AI Thread Summary
To determine how far a ball will travel when rolled off a ramp, the key variables include the vertical drop of 1 meter and the acceleration due to gravity at -10 m/s². The equations of motion, such as Delta X = Vi(t) + (1/2)a(t²) and Vf² = Vi² + 2a(deltaX), are essential for calculating the final velocity and horizontal distance. The user is struggling to find the initial and final velocities, which are necessary to calculate the horizontal distance traveled. A free body diagram could aid in visualizing the forces acting on the ball during its motion. Understanding these principles will help solve the problem effectively.
Hothot330
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Homework Statement


Given the following variables find how far the ball will land away from the point it leaves the ramp to the point it hits the ground.

Vertical:
Delta X= 1m
Velocity Final= ?
Velocity Initial= ?
Acceleration= -10 m/s^2
t= ?

Horizontal:
Delta X= ? <- Objective
Velocity Final=?
Velocity Initial= ?
Acceleration= 0 m/s^2
t=?

Homework Equations


Delta X= Vi(t) + (1/2)a(t^2)
Vf^2= Vi^2 +2a(deltaX)

The Attempt at a Solution


No idea where to start... I can't figure out how to solve for the Velocity. Once I get that I can get the distance for the horizontal direction.

4. Additional Notes

the ramp can be view by my crappy picture below

\
` ._______________________________


***The Ball starts at the tip of the ramp***

The picture of the ramp
 
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a better diagram shall be of much help...

anyways draw a free body diagram of the ball and show me...
 
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Here's a better picture of what is represented and what I am to find.

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